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Finding the Fourth Proportional to 3,049.84, 4,569.84 and 2,758.24

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Solution

The fourth proportional to 3,049.84, 4,569.84 and 2,758.24 is: 4,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.84 : 4,569.84 = 2,758.24 : x
  2. Step 2: Convert to fraction form
    3,049.84/4,569.84 = 2,758.24/x
  3. Step 3: Cross multiply
    3,049.84x = 4,569.84 × 2,758.24
  4. Step 4: Simplify right side
    3,049.84x = 12,604,715.48
  5. Step 5: Solve for x
    x = 12,604,715.48/3,049.84
  6. Step 6: Final answer
    x = 4,132.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.